82236211200 has 1224 divisors, whose sum is σ = 356911575840. Its totient is φ = 18402508800.

The previous prime is 82236211199. The next prime is 82236211201. The reversal of 82236211200 is 211263228.

82236211200 is a `hidden beast` number, since 8 + 2 + 23 + 621 + 12 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82236211199) and next prime (82236211201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (82236211201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6325862394 + ... + 6325862406.

Almost surely, 2^82236211200 is an apocalyptic number.

82236211200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82236211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178455787920).

82236211200 is an abundant number, since it is smaller than the sum of its proper divisors (274675364640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82236211200 is a wasteful number, since it uses less digits than its factorization.

82236211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 82236211200 its reverse (211263228), we get a palindrome (82447474428).

The spelling of 82236211200 in words is "eighty-two billion, two hundred thirty-six million, two hundred eleven thousand, two hundred".